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Finding the Third Proportional to 4,835.32 and 10,277.19

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Solution

The third proportional to 4,835.32 and 10,277.19 is: 21,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.32 : 10,277.19 = 10,277.19 : x
  2. Step 2: Convert to fraction form
    4,835.32/10,277.19 = 10,277.19/x
  3. Step 3: Cross multiply
    4,835.32x = 10,277.19 × 10,277.19
  4. Step 4: Simplify right side
    4,835.32x = 105,620,663.20
  5. Step 5: Solve for x
    x = 105,620,663.20/4,835.32
  6. Step 6: Final answer
    x = 21,843.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.